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Some of the debris from a collision may end up in an orbit with a higher apogee, perigee will necessarily still be at or below the altitude of the last collision and will be subject to some of the same low-orbit aerodynamic drag that starlink satellites experience; passes through lower altitudes will apply drag that will first drop the apogee and will then eventually cause the debris to reenter.
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How can it linger in a higher orbit. Maybe some of the debris gets a kick which increases its velocity, but you need two velocity boosts to circularise the orbit, no? So I figure at worst you get an elliptical orbit which will still decay
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Nope, if it goes up it will go down even faster.

Orbits are about speed. Two things colliding cannot have debris coming out at a faster velocity than either of them.

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